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Finding the Third Proportional to 843,978,202,623.40 and 1,138,724,756,812.60

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Solution

The third proportional to 843,978,202,623.40 and 1,138,724,756,812.60 is: 1,536,407,063,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,978,202,623.40 : 1,138,724,756,812.60 = 1,138,724,756,812.60 : x
  2. Step 2: Convert to fraction form
    843,978,202,623.40/1,138,724,756,812.60 = 1,138,724,756,812.60/x
  3. Step 3: Cross multiply
    843,978,202,623.40x = 1,138,724,756,812.60 × 1,138,724,756,812.60
  4. Step 4: Simplify right side
    843,978,202,623.40x = 1,296,694,071,777,915,110,948,864
  5. Step 5: Solve for x
    x = 1,296,694,071,777,915,110,948,864/843,978,202,623.40
  6. Step 6: Final answer
    x = 1,536,407,063,295.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.